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12479689344 = 273311048361
BaseRepresentation
bin10111001111101100…
…01111001010000000
31012012201201220102110
423213312033022000
5201024300024334
65422203015320
7621154415643
oct134766171200
935181656373
1012479689344
115324506351
12250350a540
13123b657c85
14865607a5a
154d0925ae9
hex2e7d8f280

12479689344 has 64 divisors (see below), whose sum is σ = 34218535680. Its totient is φ = 4025702400.

The previous prime is 12479689309. The next prime is 12479689357. The reversal of 12479689344 is 44398697421.

12479689344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×124796893442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512277 + ... + 536084.

It is an arithmetic number, because the mean of its divisors is an integer number (534664620).

Almost surely, 212479689344 is an apocalyptic number.

It is an amenable number.

12479689344 is an abundant number, since it is smaller than the sum of its proper divisors (21738846336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12479689344 is a wasteful number, since it uses less digits than its factorization.

12479689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048409 (or 1048397 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 12479689344 in words is "twelve billion, four hundred seventy-nine million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 1048361 2096722 3145083 4193444 6290166 8386888 12580332 16773776 25160664 32499191 33547552 50321328 64998382 67095104 97497573 100642656 129996764 134190208 194995146 201285312 259993528 389990292 402570624 519987056 779980584 1039974112 1559961168 2079948224 3119922336 4159896448 6239844672 12479689344